MECHENG 722

Engineering Vibrations

Summary


Semester

Semester 1, 2018

Staff

Contents


Calendar notes

Selected topics in vibration engineering: Multiple degree of freedom and continuous systems; Spectral analysis; analytical, approximate and numerical methods, including FEA; vibration instrumentation, measurement and testing; modal analysis; vibration treatment. Prerequisite: MECHENG 325 or equivalentRestriction: MECHENG 421, 719

Outcome mapping


Intended learning outcomes
Related graduate attributes
Related assessments

Single degree-of-freedom (SDOF) vibration: Students will be able to use SDOF analysis to predict the performance and parameters (natural frequency, damping, effective mass and stiffness) of an sdof system. Multiple degree-of-freedom (MDOF) vibration: Students will be able to form the modal matrix, calculate modal forces, determine response in modal coordinates, and synthesise system response from modal responses.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGA05: modern tool usage (2)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (4)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)

No related assessments

Spectral analysis: Students will be able to measure, analyse and compare signals in terms of their spectra.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGA05: modern tool usage (2)
ENGA10: communication (1)
ENGK01: theory of natural sciences (4)
ENGK04: specialist knowledge (4)
ENGK06: engineering practice (2)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
ENGP04: familiarity of issues (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)
UOA_5: Independence and Integrity (2)
UOA_6: Social and Environmental Responsiblities (1)

No related assessments

Vibration of continuous systems: Students will be able to apply appropriate boundary conditions to derive the characteristic equation of a uniform 1D continuous system. They will be able to solve the characteristic equation to find the natural frequencies and mode shapes of such a system. They will be able to model and predict the free and forced response of such a continuous system using modal and wave-based approaches.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGA05: modern tool usage (2)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (4)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)

No related assessments

Approximate methods for vibration analysis: Students will be able to assume the proper mode shape of discrete and continuous systems and compute the Rayleigh's quotient to estimate fundamental natural frequency using Rayleigh's method. They will be able to assume a series of proper shape functions, compute the corresponding stiffness and mass matrices, and estimate a few interested natural frequencies of continuous systems using Rayleigh-Ritz method.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGA05: modern tool usage (2)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (4)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)

No related assessments

Lagrange's equations: Students will be able to compute kinetic energy, potential energy, and generalized nonconservative forces of vibrating systems and formulate the equation of motion by applying Lagrange's equations. They will be able to estimate the equilibrium positions of vibrating systems and check their stability. They will be able to linearize the equation of motion around stable equilibrium positions.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (4)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)

No related assessments

Vibration measurement and testing: Students will be able to explain the characteristics of accelerometers, force sensors and excitation systems used in vibration testing systems. They will be able to explain the principal sources of error in these systems, and how these errors can be minimised. They will be able to compute natural frequencies, damping and mode shapes from experimental measurements using both the peak amplitude method and the modal circle method.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGA05: modern tool usage (2)
ENGA10: communication (1)
ENGK04: specialist knowledge (4)
ENGK06: engineering practice (2)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
ENGP04: familiarity of issues (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Vibration treatment: Students will be able to explain why the various approaches to vibration treatment are effective in some applications and not in others. They will be able to specify the appropriate isolator characteristics necessary to achieve a given level of performance. They will be able to explain the fundamental differences in the performance of undamped and damped vibration absorbers.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGK01: theory of natural sciences (4)
ENGK06: engineering practice (2)
ENGP01: depth of knowledge required (4)
ENGP04: familiarity of issues (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)
UOA_6: Social and Environmental Responsiblities (1)

No related assessments

Vibration analysis using finite elements: Students will be able to develop a simple finite element model of a 1D structure, and use that model to predict the natural frequencies, mode shapes and frequency response of the structure.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (4)
ENGA04: investigation (3)
ENGA05: modern tool usage (2)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (4)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (2)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (3)

No related assessments

Assessment


Coursework

Labs
Each student attends two 2-hour labs, both held in Room 201N-431. These labs are coordinated with the lecture material and aim to reinforce your understanding of it by showing you how it is used in a practical context. The labs are:
Lab 1: Digital spectral analysis. (Week 6)
Lab 2: Vibration measurement and testing. (Week 9)
The timetable and groupings for your lab sessions are determined by the selections you made when enrolling for this course, and should be available to you through Student Services Online.

Projects and Lab Report (total 40%)
Project A: you will derive an analytical model of the test structure, and use this to predict the natural frequencies and mode shapes. (10% - project reports due at SSS by 12pm, Tuesday 24 April, Week 7)
Lab report: based on your measurements from Lab 2, you will perform an experimental modal analysis of the test structure, and will compare the results to those obtained from an analytical model. (10% - lab reports are due at SSS by 12pm, Tuesday 22 May, Week 11)
Project B: you will investigate approximate and numerical techniques, applied to the same test structure. (20% - project reports are due at SSS by 12pm, Tuesday 29 May, Week 12)

Exam rules

Exam (60%) - 2 hours, closed book, restricted calculator

Inclusive learning

Students are urged to discuss privately any impairment-related requirements face-to-face and/or in written form with the course convenor/lecturer and/or tutor.

Other assessment rules

No description given

Academic integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting his or her learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the world-wide web. A student's assessed work may be reviewed against electronic source material using computerised detection mechanisms. Upon reasonable request, students may be required to provide an electronic version of their work for computerised review.

All students enrolled at the University of Auckland are required to complete a compulsory Academic Integrity course, usually in their first semester/year of enrolment. The University of Auckland’s full guidelines on procedures and penalties for academic dishonesty are available here.

This site intends to guide you through your chosen specialisation at the Faculty of Engineering. The semester links lets you view detailed course information for your chosen course. Please note that the structure displayed for your specialisation here will reflect what’s available over the upcoming semesters, but detailed information may be from a previous year.

All the information here is accurate at the time of publication, but you are are advised to additionally consult our official document, the University of Auckland Calendar, for accurate academic regulations, requirements, and policies.